In the absence of air resistance, both bullets, regardless of their speeds, will hit the ground simultaneously as gravity affects their vertical motion equally.
The correct answer is option C"Both will reach simultaneously".
In the absence of air resistance, both bullets fired simultaneously and horizontally from the same height will hit the ground at the same time, regardless of their speeds. This concept is a fundamental principle of projectile motion. The key factor to consider is that, in the absence of external forces, the only force acting on the bullets in the vertical direction is gravity.
Horizontal motion and vertical motion are independent of each other in projectile motion. Both bullets experience the same acceleration due to gravity, regardless of their horizontal velocities. As gravity acts vertically downward, it imparts the same downward acceleration to both bullets, causing them to fall vertically at the same rate.
The horizontal speed of the bullets does not affect their vertical motion unless air resistance or other factors come into play. Consequently, the answer is C. "Both will reach simultaneously."
The masses of the bullets, as indicated in option D, do not factor into the equation for the time of flight in the absence of air resistance. Both bullets will follow identical parabolic trajectories and hit the ground simultaneously if fired from the same height at the same time.